Optical soliton solutions to Biswas–Arshed model with truncated M-fractional derivative

Abstract

In this article, the Biswas–Arshed model (BAM) with truncated M-fractional derivative is assumed to secure its different new optical soliton solutions. For this purpose two different schemes, the extended Sinh–Gordon equation expansion (ShGEE) and the modified (G′/G2)-expansion schemes, are applied. As a process, a sequence of traveling wave soliton solutions are obtained and are verified with the help of symbolic soft computations. Obtained soliton solutions, including dark, bright, singular and many others, show that the suggested schemes are effective and reliable as compared to many other schemes. Moreover, the solutions are new as the model of this article is its new form. The main character of the parameter μ on the dynamical features of the obtained optical soliton solutions is also explained with help of three-dimensional graphs.